On generalized subharmonic functions
1950 ◽
Vol 46
(3)
◽
pp. 387-395
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Keyword(s):
In a recent paper (1) I studied a class of generalized convex functions of a single real variable which I called sub-(L) functions. Given an ordinary linear differential equation of the second order L(y) = 0, a function f(x) is sub-(L) in (a, b) if it is majorized there by the solutions of the equation. More precisely, for every x1, x2 in (a, b),f(x) ≤ F12(x) in (x1, x2), where F12 is that solution of L(y) = 0 (supposed unique) which takes the values f(xi) at xi. It was found that sub-(L) functions are characterized in a manner closely analogous to ordinary convex functions.
1988 ◽
Vol 28
(3)
◽
pp. 108
1993 ◽
Vol 118
(3)
◽
pp. 813-813
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1986 ◽
Vol 102
(3-4)
◽
pp. 253-257
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2018 ◽
Vol 973
◽
pp. 012057
◽
1997 ◽
Vol 26
(2)
◽
pp. 421-434
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Keyword(s):